What types of games do you want to run? Linux games only? Be aware that Windows games will not run natively on Linux, you have to use wine to get them running, and although nowadays most games run with wine their is no guarantee that a game will run on your system. The Wine Application Database
will give you more information about which games are running and how you get them running.
That said, I use Arch Linux for gaming, because it always has the latest version of wine, and almost all of my games run on it. But Arch Linux is not really easy to set up for a newbie.